Question

If cot theta is undefined, then what is the value of tan theta

Answer 1

Answer: The value of tanθ is 0.

Explanation:

Since we have given that

`\cot \theta=\infty`

As we know that

Tangent and cotangent are complementary as well as reverse of each other.

So, first we find the value of θ for cotangent:

`\cot \theta=\infty\\\\\theta=\cot^(-1)(\infty)\\\\\theta=0^\circ`

So, the value of tanθ would be

`\tan 0^\circ=0`

Hence, the value of tanθ is 0.

Answer 2

If a function is undefined, this usually means that the value is 1 / 0.

Since tan theta is the reciprocal of cot theta. Therefore:

cot theta = 1 / 0 = 1 / tan theta

Taking the right side:

1 / 0 = 1 / tan theta

Rearranging so that tan theta is in the numerator:

tan theta = 0